?The excess Gibbs energy for the system chloroform(1)/ethanol(2) at \(55^{\circ}

Chapter 13, Problem 13.65

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The excess Gibbs energy for the system chloroform(1)/ethanol(2) at \(55^{\circ} \mathrm{C}\) is well represented by the Margules equation, \(G^{E} / R T=\left(1.42 x_{1}+0.59 x_{2}\right) x_{1} x_{2}\). The vapor pressures of chloroform and ethanol at \(55^{\circ} \mathrm{C}\) are \(P_{1}^{\text {sat }}=82.37 \text { and } P_{2}^{\text {sat }}=37.31 \mathrm{kPa}\).

(a) Assuming the validity of Eq. (13.19), make BUBL P calculations at \(55^{\circ} \mathrm{C}\) for liquid-phase mole fractions of 0.25, 0.50, and 0.75.

(b) For comparison, repeat the calculations using Eqs. (13.13) and (13.14) with virial coefficients: \(B_{11}=-963, B_{22}=-1523, \text { and } B_{12}=52 \mathrm{cm}^{3} \cdot \mathrm{mol}^{-1}\).

Text Transcription:

55^circ C

G^E/RT=(1.42x_1+0.59x_2)x_1x_2

P_1^sat =82.37 and P_2^sat=37.31kPa

B_11=-963, B_22=-1523, and B_12=52 cm^3 cdot mol^-1

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